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Finding the Fourth Proportional to 9,969.46, 14,954.19 and 4,119.64

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Solution

The fourth proportional to 9,969.46, 14,954.19 and 4,119.64 is: 6,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.46 : 14,954.19 = 4,119.64 : x
  2. Step 2: Convert to fraction form
    9,969.46/14,954.19 = 4,119.64/x
  3. Step 3: Cross multiply
    9,969.46x = 14,954.19 × 4,119.64
  4. Step 4: Simplify right side
    9,969.46x = 61,605,879.29
  5. Step 5: Solve for x
    x = 61,605,879.29/9,969.46
  6. Step 6: Final answer
    x = 6,179.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.